Fitness Room Flooring

A quarter of the internal good health is a rectangular region with a semicircle on each end (see figure). The perimeter of the room is a single-lane running track of 200 meters.   (a) Determine the radius of the semicircular ends of the room. (Find the radio in terms of Y.) Determine the distance in terms of, and around the inside edge of both sides of the semicircular track. (b) Use the result of part (a) to write an equation in terms of XYY, because the distance traveled in a lap around the track. Solve for Y. (c) Use the result of part (b) to write the area A of the rectangular region as a function of X. What dimensions will produce a maximum area of the rectangle? help =)

One quarter of the internal good health is a rectangular region with a semicircle at each end. If the perimeter of the room is a ramp current of 200 meters, find the dimensions that make the area of the rectangular region as large as possible. A: 50m * 100/piem = 3.14 feet I reply, but I want to learn how to get this response. This is a problem of calculation.